Magma V2.19-8 Tue Aug 20 2013 23:52:52 on localhost [Seed = 998068467] Type ? for help. Type -D to quit. Loading file "L13n4371__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4371 geometric_solution 10.18307160 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 0 0 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -4 5 0 0 0 0 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795428435248 0.637449494282 0 3 5 4 0132 2103 0132 0132 1 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555865286828 0.325808811655 6 0 7 0 0132 0132 0132 1302 0 0 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -4 4 0 -4 0 4 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456437969521 1.422270750067 8 1 0 9 0132 2103 0132 0132 0 0 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -5 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456437969521 1.422270750067 7 8 1 10 2031 0321 0132 0132 1 0 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 1 0 0 -1 0 1 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270719039631 0.611516694060 7 8 11 1 0132 3120 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529880198817 1.033931632161 2 7 9 11 0132 3120 2031 3120 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450866579499 0.367408392766 5 6 4 2 0132 3120 1302 0132 0 0 1 1 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -4 4 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232371836212 0.441545096218 3 5 9 4 0132 3120 3012 0321 1 0 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287844185509 0.841570589901 10 8 3 6 0132 1230 0132 1302 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773199553809 0.613317261083 9 11 4 11 0132 3120 0132 0132 1 0 1 1 0 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -5 1 0 0 1 -1 0 4 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.793842953382 0.629692016117 6 10 10 5 3120 3120 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 4 -4 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013583017612 1.690898657968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4704113400243/188721691400*c_1100_1^9 + 555365944823/94360845700*c_1100_1^8 + 43107151685971/188721691400*c_1100_1^7 - 23560454961957/188721691400*c_1100_1^6 - 35450080935223/37744338280*c_1100_1^5 + 317830198337/451487300*c_1100_1^4 + 91651700184069/94360845700*c_1100_1^3 + 32676223858079/47180422850*c_1100_1^2 - 353390765076857/188721691400*c_1100_1 + 120264193910623/188721691400, c_0011_0 - 1, c_0011_10 + 35996/932825*c_1100_1^9 - 89617/932825*c_1100_1^8 - 339347/932825*c_1100_1^7 + 894049/932825*c_1100_1^6 + 234163/186565*c_1100_1^5 - 3845437/932825*c_1100_1^4 + 87009/932825*c_1100_1^3 + 1882483/932825*c_1100_1^2 + 5487079/932825*c_1100_1 - 4205926/932825, c_0011_11 - 93913/932825*c_1100_1^9 - 12489/932825*c_1100_1^8 + 851211/932825*c_1100_1^7 - 172887/932825*c_1100_1^6 - 722623/186565*c_1100_1^5 + 1368281/932825*c_1100_1^4 + 4130233/932825*c_1100_1^3 + 3461806/932825*c_1100_1^2 - 5620212/932825*c_1100_1 + 918743/932825, c_0011_3 + 73767/932825*c_1100_1^9 + 13936/932825*c_1100_1^8 - 656654/932825*c_1100_1^7 + 112968/932825*c_1100_1^6 + 540678/186565*c_1100_1^5 - 1051609/932825*c_1100_1^4 - 2970362/932825*c_1100_1^3 - 3195049/932825*c_1100_1^2 + 5302883/932825*c_1100_1 - 583822/932825, c_0011_4 - 369512/932825*c_1100_1^9 + 200974/932825*c_1100_1^8 + 3432209/932825*c_1100_1^7 - 2848853/932825*c_1100_1^6 - 2798086/186565*c_1100_1^5 + 14637239/932825*c_1100_1^4 + 13958527/932825*c_1100_1^3 + 5796599/932825*c_1100_1^2 - 34018563/932825*c_1100_1 + 14140647/932825, c_0101_0 - 1, c_0101_10 - 252092/932825*c_1100_1^9 + 142329/932825*c_1100_1^8 + 2344509/932825*c_1100_1^7 - 2029103/932825*c_1100_1^6 - 1915629/186565*c_1100_1^5 + 10495039/932825*c_1100_1^4 + 9434702/932825*c_1100_1^3 + 2379169/932825*c_1100_1^2 - 23140358/932825*c_1100_1 + 10814407/932825, c_0101_11 + 32838/186565*c_1100_1^9 - 23484/186565*c_1100_1^8 - 307297/186565*c_1100_1^7 + 304299/186565*c_1100_1^6 + 1256841/186565*c_1100_1^5 - 1497382/186565*c_1100_1^4 - 1260026/186565*c_1100_1^3 - 57917/37313*c_1100_1^2 + 3392622/186565*c_1100_1 - 295147/37313, c_0101_2 + 369512/932825*c_1100_1^9 - 200974/932825*c_1100_1^8 - 3432209/932825*c_1100_1^7 + 2848853/932825*c_1100_1^6 + 2798086/186565*c_1100_1^5 - 14637239/932825*c_1100_1^4 - 13958527/932825*c_1100_1^3 - 5796599/932825*c_1100_1^2 + 34018563/932825*c_1100_1 - 14140647/932825, c_0101_6 - 1540599/20522150*c_1100_1^9 + 1020634/10261075*c_1100_1^8 + 14750633/20522150*c_1100_1^7 - 22713761/20522150*c_1100_1^6 - 2360649/820886*c_1100_1^5 + 4825119/932825*c_1100_1^4 + 26038112/10261075*c_1100_1^3 - 12377846/10261075*c_1100_1^2 - 207110901/20522150*c_1100_1 + 94184249/20522150, c_1001_4 - 32838/186565*c_1100_1^9 + 23484/186565*c_1100_1^8 + 307297/186565*c_1100_1^7 - 304299/186565*c_1100_1^6 - 1256841/186565*c_1100_1^5 + 1497382/186565*c_1100_1^4 + 1260026/186565*c_1100_1^3 + 57917/37313*c_1100_1^2 - 3392622/186565*c_1100_1 + 295147/37313, c_1100_1^10 - c_1100_1^9 - 9*c_1100_1^8 + 12*c_1100_1^7 + 34*c_1100_1^6 - 57*c_1100_1^5 - 18*c_1100_1^4 + 2*c_1100_1^3 + 97*c_1100_1^2 - 82*c_1100_1 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.680 seconds, Total memory usage: 32.09MB